Noise-resilient controlled quantum teleportation using quantum error correction

Quantum teleportation (QT) enables one party to transmit an unknown quantum state to a remote party without sending the real qubit itself. Controlled quantum teleportation (CQT) is an important multipartite QT mode, which plays an indispensable role in building quantum networks. CQT requires distributing multipartite entanglement in quantum channels, so that channel noise becomes the main obstacle for CQT’s practical application. To enhance CQT’s noise robustness, we introduce the quantum error correction (QEC) into CQT and propose the CQT protocol based on the atomic redundancy code. In our protocol, multiple parties use atomic states and electron–photon entangled states to construct the remote atomic logical GHZ state with the help of the heralded photonic Bell state measurement (BSM), atom–electron controlled-not operation, single-electron measurement and single-atom measurement. Our CQT protocol is feasible under current experimental condition. It has some attractive advantages. First, benefiting from the heralded photonic BSM, the influence from photon transmission loss can be automatically eliminated. Second, the error correction function of the repetition code can increase the fidelity of the teleported logical state. Our CQT protocol can be extended to use other stronger QEC code. It provides a promising way to promote CQT’s practicality in the future.